78 citations · 1k across the 73 of their papers we have counts for
77 papers
A simple derivation of the zero-temperature BCS functional from the reduced BCS Hamiltonian
Christian Hainzl, Riccardo Panza
We consider a grand-canonical reduced BCS Hamiltonian on the full fermionic Fock space with an attractive pairing interaction supported in an energy shell around the Fermi surface.…
The Huang--Yang formula for a two-dimensional Fermi gas: upper bound
Christian Hainzl, Fabian Saxler, Robert Seiringer
We compute an upper bound on the ground state energy of a dilute two-dimensional Fermi gas with repulsive short-range interactions. Our bound can be viewed as the two-dimensional a…
From Bogoliubov-de Gennes to Ginzburg-Landau: Critical Points Near in the Non-Magnetic Case
Rupert L. Frank, Christian Hainzl, Dong Hao Ou Yang
We study the relation between the Bogoliubov-de Gennes (BdG) equation and the Ginzburg-Landau (GL) equation for a BCS model without external fields. While previous rigorous derivat…
The Huang-Yang conjecture for the low-density Fermi gas
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam +1
Our work establishes a three-term asymptotic expansion of the ground state energy of a dilute gas of spin fermions with repulsive short-range interactions, validating a formu…
The Huang-Yang formula for the low-density Fermi gas: upper bound
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam +1
We study the ground state energy of a gas of spin fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density , with the Huang-Y…
Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
Florian Haberberger, Christian Hainzl, Benjamin Schlein +1
We consider a Bose gas at density , interacting through a repulsive potential with scattering length . We prove an upper bound fo…